Mechanical Properties of Fluids: JEE Mains 2022 June 29 Shift 2

A small spherical ball of radius $0.1\ \text{mm}$ and density $10^4\ \text{kg m}^{-3}$ falls freely under gravity through a distance $h$ before entering a tank of water. If after entering the water the velocity of the ball does not change and it continues to fall with the same constant velocity inside the water, then the value of $h$ will be ______ m. (Given $g=10\ \text{m s}^{-2}$, viscosity of water $=1.0\times10^{-5}\ \text{N s m}^{-2}$)